ON THE DISCRETE CONSERVATION OF THE GAUSS-POISSON EQUATION OF PLASMA PHYSICS

Authors
BOUCHUT F
Citation
F. Bouchut, ON THE DISCRETE CONSERVATION OF THE GAUSS-POISSON EQUATION OF PLASMA PHYSICS, Communications in numerical methods in engineering, 14(1), 1998, pp. 23-34
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
14
Issue
1
Year of publication
1998
Pages
23 - 34
Database
ISI
SICI code
1069-8299(1998)14:1<23:OTDCOT>2.0.ZU;2-A
Abstract
We consider numerical methods which exactly preserve the Gauss-Poisson equation when solving the charge conservation and Maxwell-Ampere's eq uations. Apart from the well-known leap-frog method, we present two si tuations where this property is verified, one with rectangular mesh an d functions defined at the center of the cells, and one with a finite volume type of formulation on triangles. (C) 1998 John Wiley & Sons, L td.